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Finding the Fourth Proportional to 514.44, 766.53 and 493.56

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Solution

The fourth proportional to 514.44, 766.53 and 493.56 is: 735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.44 : 766.53 = 493.56 : x
  2. Step 2: Convert to fraction form
    514.44/766.53 = 493.56/x
  3. Step 3: Cross multiply
    514.44x = 766.53 × 493.56
  4. Step 4: Simplify right side
    514.44x = 378,328.55
  5. Step 5: Solve for x
    x = 378,328.55/514.44
  6. Step 6: Final answer
    x = 735.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.